[0001] The present invention relates to a multi-positional CT (computed tomography) image
producing method and an X-ray CT apparatus, and more particularly to a CT image producing
method and an X-ray CT apparatus capable of producing CT images at a plurality of
positions in phase.
[0002] A conventional technique for producing CT images at a plurality of slice positions
by an axial scan comprises, for each slice position, conducting an axial scan with
the slice position registered with a central detector row of a multi-row detector,
collecting a data set in a required view range at the central detector row, reconstructing
a CT image from the data set, and repeating these steps for the plurality of slice
positions.
[0003] Moreover, a technique for producing CT images at a plurality of slice positions by
a helical scan comprises, for each slice position, conducting a helical scan with
the center of a scanned range registered with the slice position, collecting a data
set in a required view range, reconstructing a CT image from the data set, and repeating
these steps for the plurality of slice positions.
[0004] On the other hand, there is known an image reconstruction method and an X-ray CT
apparatus for conducting a scan while rotating an X-ray tube and a multi-row detector
around a subject to be imaged to collect data, generating a data set in a predetermined
view range by extracting data of projection points formed by projecting pixels on
a reconstruction plane onto a plane of the multi-row detector in a direction of X-ray
transmission, and producing a CT image based on the data set (for example, see Patent
Document 1).
[0005] Furthermore, there is known a three-dimensional backprojection method comprising:
extracting projection data corresponding to a projection line(s) formed by projecting
one line or a plurality of parallel lines at spacings of a plurality of pixels on
an image reconstruction plane onto a plane of a multi-row detector in a direction
of X-ray transmission; generating projection line data by multiplying the extracted
projection data by a cone beam reconstruction weight; generating backprojected line
data by filtering the projection line data; determining back-projected pixel data
of each pixel on the reconstruction field based on the back-projected line data; and
determining back-projected data by adding the back-projected pixel data on a pixel-by-pixel
basis for all views used in image reconstruction (for example, see Japanese Patent
Application Laid Open No. 2003-159244 and Japanese Patent Application Laid Open No.
2003-334188.)
[0006] When a data set in a required view range is collected by an axial or helical scan
at every slice position as in the conventional techniques, the phase at which the
data sets are collected differs among the slice positions. That is, CT images at a
plurality of slice positions have different phases.
[0007] However, in the case of making a comparative study of CT images taken through a plurality
of slice positions of a heart, for example, the different phases among the CT images
pose a problem of inconvenience.
[0008] Therefore the present invention seeks to provide a CT image producing method and
an X-ray CT apparatus capable of producing CT images at a plurality of positions in
phase.
[0009] In its first aspect, the present invention provides a multi-positional CT image producing
method characterized in comprising: collecting data in a predetermined scan range
by a scan while making a relative rotation of at least one of an X-ray tube and a
multi-row detector around a subject to be imaged or while making the relative rotation
and a relative rectilinear motion of the X-ray tube and multi-row detector with respect
to the subject to be imaged; extracting data of detector rows corresponding to reconstruction
planes at a plurality of positions to generate respective data sets for the reconstruction
planes in a predetermined view range; and producing respective CT images of the reconstruction
planes based on said data sets.
[0010] As used herein, the phrase "relative rotation" includes: for a subject to be imaged
placed in between the X-ray tube and multi-row detector, rotating at least one of
the X-ray tube and multi-row detector around the subject to be imaged without rotating
the subject to be imaged; rotating the subject to be imaged around its axis without
rotating the X-ray tube and multi-row detector; and rotating the subject to be imaged
around its axis and rotating at least one of the X-ray tube and multi-row detector
around the subject to be imaged.
[0011] As used herein, the phrase "relative rectilinear motion" includes: for a subject
to be imaged placed in between the X-ray tube and multi-row detector, rectilinearly
moving the subject to be imaged (or the table on which the subject to be imaged is
laid) without rectilinearly moving the X-ray tube and multi-row detector; rectilinearly
moving the X-ray tube and multi-row detector without rectilinearly moving the subject
to be imaged (or the table on which the subject to be imaged is laid); and rectilinearly
moving the subject to be imaged (or the table on which the subject to be imaged is
laid) and rectilinearly moving the X-ray tube and multi-row detector.
[0012] According to the multi-positional CT image producing method of the first aspect,
since a plurality of CT images at different slice positions are produced from data
collected by one axial scan or helical scan using a multi-row detector, the plurality
of CT images can be made in phase.
[0013] In its second aspect, the present invention provides a multi-positional CT image
producing method characterized in comprising: collecting data in a predetermined scan
range by a scan while making a relative rotation of at least one of an X-ray tube
and a multi-row detector around a subject to be imaged or while making the relative
rotation and a relative rectilinear motion of the X-ray tube and multi-row detector
with respect to the subject to be imaged; extracting data at projection points formed
by projecting pixels on reconstruction planes at a plurality of positions onto a plane
of the multi-row detector in a direction of X-ray transmission to generate respective
data sets for the reconstruction planes in a predetermined view range; and producing
respective CT images of the reconstruction planes based on said data sets.
[0014] According to the multi-positional CT image producing method of the second aspect,
since a plurality of CT images at different slice positions are produced from data
collected by one axial scan or helical scan using a multi-row detector, the plurality
of CT images can be made in phase. Moreover, since the CT images are produced by extracting
data of detector rows and channels onto which an X-ray beam passing through the pixels
on the reconstruction planes impinges, cone angle artifacts are reduced.
[0015] In its third aspect, the present invention provides the multi-positional CT image
producing method having the aforementioned configuration, characterized in comprising:
producing the CT images by a three-dimensional image reconstruction technique.
[0016] In this configuration, for the three-dimensional image reconstruction technique,
the Feldkamp method and the weighted Feldkamp method are known.
[0017] According to the multi-positional CT image producing method of the third aspect,
since image reconstruction is performed according to a three-dimensional image reconstruction
technique, cone angle artifacts are reduced.
[0018] In its fourth aspect, the present invention provides the multi-positional CT image
producing method having the aforementioned configuration, characterized in that said
three-dimensional image reconstruction technique is a three-dimensional backprojection
method comprising: extracting projection data corresponding to a projection line(s)
formed by projecting one line or a plurality of parallel lines at spacings of a plurality
of pixels on a reconstruction plane onto a plane of the multi-row detector in a direction
of X-ray transmission; generating projection line data by multiplying said extracted
projection data by a cone beam reconstruction weight; generating backprojected line
data by filtering said projection line data; determining backprojected pixel data
of each pixel on the reconstruction field based on said backprojected line data; and
determining backprojected data by adding the backprojected pixel data on a pixel-by-pixel
basis for all views used in image reconstruction.
[0019] According to the X-ray CT imaging method of the fourth aspect, since the three-dimensional
image reconstruction technique as described in Patent Document 2 is employed, the
volume of calculation can be significantly reduced.
[0020] In its fifth aspect, the present invention provides the multi-positional CT image
producing method having the aforementioned configuration, characterized in that: representing
a direction perpendicular to a plane of rotation of the X-ray tube and multi-row detector
or a direction of rectilinear motion in a helical scan as z-direction, a direction
of the center axis of the X-ray beam at a view angle
view = 0° as y-direction, and a direction orthogonal to the z- and y-directions as x-direction,
the line direction is defined as the x-direction for -45°
≤ view < 45° or a view angle range mainly including the range and also including its vicinity
and 135°
≤ view < 225° or a view angle range mainly including the range and also including its vicinity,
and the line direction is defined as the y-direction for 45° ≤
view < 135° or a view angle range mainly including the range and also including its vicinity
and 225° ≤
view < 315° or a view angle range mainly including the range and also including its vicinity.
[0021] In this configuration,
view = -45° and
view = 315° are actually equal and represent the same view angle, although they are differently
denoted for convenience of expression.
[0022] When a line on a reconstruction plane is projected in the direction of X-ray transmission,
accuracy increases for an angle between the line and direction of X-ray transmission
closer to 90°, and decreases for the angle closer to 0°.
[0023] According to the CT image producing method of the fifth aspect, since the angle between
the line and direction of X-ray transmission is no less than about 45°, accuracy reduction
can be prevented.
[0024] In its sixth aspect, the present invention provides the multi-positional CT image
producing method having the aforementioned configuration, characterized in that: said
scan range is a rotation angle range of at least "180° + fan beam angle."
[0025] According to the multi-positional CT image producing method of the sixth aspect,
data in a minimum view range required for reconstruction of a CT image is secured.
[0026] In its seventh aspect, the present invention provides the multi-positional CT image
producing method having the aforementioned configuration, characterized in that: said
view range is a rotation angle range of "180° + fan beam angle."
[0027] According to the multi-positional CT image producing method of the seventh aspect,
since the view range of the data set used in reconstruction of a CT image is small,
temporal resolution is improved.
[0028] In its eighth aspect, the present invention provides the multi-positional CT image
producing method having the aforementioned configuration, characterized in that: phase
of motion of the subject to be imaged is detected based on cardiographic or respiratory
signals.
[0029] According to the multi-positional CT image producing method of the eighth aspect,
a CT image can be produced at a desired phase of the heart or lungs.
[0030] In its ninth aspect, the present invention provides an X-ray CT apparatus characterized
in comprising: an X-ray tube; a multi-row detector; scanning means for collecting
data in a predetermined scan range by a scan while making a relative rotation of at
least one of said X-ray tube and said multi-row detector around a subject to be imaged
or making the relative rotation and a relative rectilinear motion of said X-ray tube
and said multi-row detector with respect to the subject to be imaged; data extracting
means for extracting data of detector rows corresponding to reconstruction planes
at a plurality of positions to generate respective data sets for the reconstruction
planes in a predetermined view range; and image reconstruction means for producing
respective CT images of the reconstruction planes based on said data sets.
[0031] According to the X-ray CT apparatus of the ninth aspect, the multi-positional CT
image producing method of the first aspect can be suitably implemented.
[0032] In its tenth aspect, the present invention provides an X-ray CT apparatus characterized
in comprising: an X-ray tube; a multi-row detector; scanning means for collecting
data in a predetermined scan range by a scan while making a relative rotation of at
least one of said X-ray tube and said multi-row detector around a subject to be imaged
or making the relative rotation and a relative rectilinear motion of said X-ray tube
and said multi-row detector with respect to the subject to be imaged; data extracting
means for extracting data at projection points formed by projecting pixels on reconstruction
planes at a plurality of positions onto a plane of the multi-row detector in a direction
of X-ray transmission to generate respective data sets for the reconstruction planes
in a predetermined view range; and image reconstruction means for producing respective
CT images of the reconstruction planes based on said data sets.
[0033] According to the X-ray CT apparatus of the tenth aspect, the multi-positional CT
image producing method of the second aspect can be suitably implemented.
[0034] In its eleventh aspect, the present invention provides the X-ray CT apparatus having
the aforementioned configuration, characterized in: producing the CT images by a three-dimensional
image reconstruction technique.
[0035] According to the X-ray CT apparatus of the eleventh aspect, the multi-positional
CT image producing method of the third aspect can be suitably implemented.
[0036] In its twelfth aspect, the present invention provides the X-ray CT apparatus having
the aforementioned configuration, characterized in that said three-dimensional image
reconstruction technique is a three-dimensional back-projection method comprising:
extracting projection data corresponding to a projection line(s) formed by projecting
one line or a plurality of parallel lines at spacings of a plurality of pixels on
a reconstruction plane onto a plane of the multi-row detector in a direction of X-ray
transmission; generating projection line data by multiplying said extracted projection
data by a cone beam reconstruction weight; generating back-projected line data by
filtering said projection line data; determining back-projected pixel data of each
pixel on the reconstruction field based on said back-projected line data; and determining
back-projected data by adding the back-projected pixel data on a pixel-by-pixel basis
for all views used in image reconstruction.
[0037] According to the X-ray CT apparatus of the twelfth aspect, the multi-positional CT
image producing method of the fourth aspect can be suitably implemented.
[0038] In its thirteenth aspect, the present invention provides the X-ray CT apparatus having
the aforementioned configuration, characterized in that: representing a direction
perpendicular to a plane of rotation of the X-ray tube and multi-row detector or a
direction of rectilinear motion in a helical scan as z-direction, a direction of the
center axis of the X-ray beam at a view angle
view = 0° as y-direction, and a direction orthogonal to the z- and y-directions as x-direction,
the line direction is defined as the x-direction for -45°
≤ view < 45° or a view angle range mainly including the range and also including its vicinity
and 135°
≤ view < 225° or a view angle range mainly including the range and also including its vicinity,
and the line direction is defined as the y-direction for 45° ≤
view < 135° or a view angle range mainly including the range and also including its vicinity
and 225°
≤ view < 315° or a view angle range mainly including the range and also including its vicinity.
[0039] According to the X-ray CT apparatus of the thirteenth aspect, the multi-positional
CT image producing method of the fifth aspect can be suitably implemented.
[0040] In its fourteenth aspect, the present invention provides the X-ray CT apparatus having
the aforementioned configuration, characterized in that: said scan range is a rotation
angle range of at least "180° + fan beam angle."
[0041] According to the X-ray CT apparatus of the fourteenth aspect, the multi-positional
CT image producing method of the sixth aspect can be suitably implemented.
[0042] In its fifteenth aspect, the present invention provides the X-ray CT apparatus having
the aforementioned configuration, characterized in that: said view range is a rotation
angle range of "180° + fan beam angle."
[0043] According to the X-ray CT apparatus of the fifteenth aspect, the multi-positional
CT image producing method of the seventh aspect can be suitably implemented.
[0044] In its sixteenth aspect, the present invention provides the X-ray CT apparatus having
the aforementioned configuration, characterized in that phase of motion of the subject
to be imaged is detected based on cardiographic or respiratory signals.
[0045] According to the X-ray CT apparatus of the sixteenth aspect, the multi-positional
CT image producing method of the eighth aspect can be suitably implemented.
[0046] According to the multi-positional CT image producing method and X-ray CT apparatus
of the present invention, CT images at a plurality of positions can be produced in
phase.
[0047] The multi-positional CT image producing method and X-ray CT apparatus of the present
invention may be used in producing CT images of a plurality of cross sections and
at the same phase of the heart.
[0048] The invention will now be described in greater detail, by way of example, with reference
to the drawings, in which:-
Figure 1 is a block configuration diagram showing an X-ray CT apparatus of Example
1.
Figure 2 is an explanatory diagram showing a rotation of an X-ray tube and a multi-row
detector.
Figure 3 is an explanatory diagram showing a cone beam.
Figure 4 is a flow chart showing multi-positional CT image producing processing.
Figure 5 is an explanatory diagram showing a format for storing collected data.
Figure 6 is a flow chart showing details of three-dimensional image reconstruction
processing.
Figures 7A and 7B are conceptual diagrams showing lines on a reconstruction plane
P projected in the direction of X-ray transmission.
Figure 8 is a conceptual diagram showing lines on the reconstruction plane P projected
onto a detector plane.
Figure 9 is a conceptual diagram showing projection data Dr on lines on the detector
plane at a view angle view = 0° projected onto a projection plane.
Figure 10 is a conceptual diagram showing projection line data Dp obtained by multiplying
the projection data Dr on the projection plane pp at the view angle view = 0° by a cone beam reconstruction weight.
Figure 11 is a conceptual diagram showing back-projected line data Df obtained by
filtering the projection line data Dp on the projection plane pp at the view angle view = 0°.
Figure 12 is a conceptual diagram showing high density back-projected line data Dh
obtained by interpolating the back-projected line data Df on the projection plane
pp at the view angle view = 0°.
Figure 13 is a conceptual diagram showing back-projected pixel data D2 obtained by
developing the high density back-projected line data Dh on the projection plane pp at the view angle view = 0° over lines on a reconstruction plane.
Figure 14 is a conceptual diagram showing back-projected pixel data D2 obtained by
developing the high density back-projected line data Dh on the projection plane pp at the view angle view = 0° in between the lines on the reconstruction plane.
Figure 15 is a conceptual diagram showing projection data Dr on lines on the detector
plane at a view angle view = 90° projected onto a projection plane.
Figure 16 is a conceptual diagram showing projection line data Dp obtained by multiplying
the projection data Dr on the projection plane pp at the view angle view = 90° by a cone beam reconstruction weight.
Figure 17 is a conceptual diagram showing backprojected line data Df obtained by filtering
the projection line data Dp on the projection plane pp at the view angle view = 90°.
Figure 18 is a conceptual diagram showing high density back-projected line data Dh
obtained by interpolating the back-projected line data Df on the projection plane
pp at the view angle view = 90°.
Figure 19 is a conceptual diagram showing back-projected pixel data D2 obtained by
developing the high density back-projected line data Dh on the projection plane pp at the view angle view = 90° over lines on a reconstruction plane.
Figure 20 is a conceptual diagram showing back-projected pixel data D2 obtained by
developing the high density back-projected line data Dh on the projection plane pp at the view angle view = 90° in between the lines on the reconstruction plane.
Figure 21 is an explanatory diagram showing back-projected data D3 obtained by adding
the back-projected pixel data D2 on a pixel-by-pixel basis for all views.
Figures 22A and 22B are explanatory diagrams showing the relationship between a plurality
of reconstruction planes and a scan range in accordance with Example 1.
Figures 23A and 23B are explanatory diagrams showing the relationship between a plurality
of reconstruction planes and a scan range in accordance with Example 3.
[Example 1]
[0049] Figure 1 is a block configuration diagram showing an X-ray CT apparatus 100 of Example
1.
[0050] The X-ray CT apparatus 100 comprises an operation console 1, a table apparatus 10,
a scan gantry 20, and an electrocardiograph 40.
[0051] The operation console 1 comprises an input device 2 for accepting inputs by a human
operator, a central processing apparatus 3 for executing scan control processing,
image reconstruction processing etc., a data collection buffer 5 for collecting data
acquired at the scan gantry 20, a CRT 6 for displaying a produced CT image, and a
storage device 7 for storing programs, data, and X-ray CT images.
[0052] The table apparatus 10 comprises a table 12 for laying thereon a subject to be imaged
and transporting the subject into/out of a bore (cavity portion) of the scan gantry
20. The table 12 is vertically and horizontally/rectilinearly moved by a motor incorporated
in the table apparatus 10.
[0053] The scan gantry 20 comprises an X-ray tube 21, an X-ray controller 22, a collimator
23, a multi-row detector 24, a DAS (data acquisition system) 25, a rotator-side controller
26 for controlling the X-ray controller 22, collimator 23 and DAS 25, an overall controller
29 for communicating control signals etc. with the operation console 1 and imaging
table 10, and a slip ring 30.
[0054] The electrocardiograph 40 detects cardiographic signals of the subject to be imaged.
[0055] Figures 2 and 3 are explanatory diagrams of the X-ray tube 21 and multi-row detector
24.
[0056] The X-ray tube 21 and multi-row detector 24 rotate around a center of rotation IC.
Representing the direction of rectilinear motion of the table 12 as z-direction, a
direction perpendicular to the upper surface of the table 12 as y-direction, and a
direction orthogonal to the z- and y-directions as x-direction, a plane of rotation
of the X-ray tube 21 and multi-row detector 24 is an x-y plane.
[0057] The X-ray tube 21 generates an X-ray beam CB generally referred to as a cone beam.
When the direction of the center axis of the X-ray beam CB is parallel to the y-direction,
a view angle
view = 0° is defined.
[0058] The multi-row detector 24 has J (e.g., J = 256) detector rows. Each row has I (e.g.,
I = 1,024) channels.
[0059] Figure 4 is a flow chart showing multi-positional CT image producing processing.
[0060] At Step S1, the operator specifies a plurality of slice positions. For example, as
shown in Figure 22, a plurality of slice positions P1, P2, P3 and P4 across the heart
of the subject to be imaged are specified. Moreover, the cardiac phase at which data
are desired is specified.
[0061] At Step S2, the operator specifies a scan range. For example, in an axial scan, a
z-position of the center of the multi-row detector 24, a scan start angle and a scan
end angle are specified. In a helical scan, a scan start point Zs and a scan end point
Ze, and a scan start angle "0°" and a scan end angle "180° + fan angle" are specified,
as exemplarily illustrated in Figure 22. It should be noted that a wider scan range
may be specified.
[0062] At Step S3, the X-ray CT apparatus 100 conducts a scan synchronously with the phase
of cardiographic signals, and collects data.
[0063] Specifically, data D0(
z,
view, j, i) represented by the z-position z, view angle
view, detector row index
j and channel index
i is collected while rotating the X-ray tube 21 and multi-row detector 24 around the
subject to be imaged without rectilinearly moving the table 12, or data D0(
z,
view, j, i) represented by the rectilinear motion position z, view angle view, detector row
index
j and channel index i is collected while rotating the X-ray tube 21 and multi-row detector
24 around the subject to be imaged and rectilinearly moving the table 12. The rectilinear
motion position z is obtained by an encoder counting a z-position pulse, converted
into a z-coordinate at the overall controller 29, passed via the slip ring 30, and
appended as z-coordinate information to the projection data from the DAS 25.
[0064] Figure 5 shows a format of the data at a certain view angle
view appended with the z-coordinate information.
[0065] At Step S4, the X-ray CT apparatus 100 applies pre-processing (offset correction,
log correction, X-ray dose correction and sensitivity correction) to the data D0(
z,
view, j, i).
[0066] At Step S5, the X-ray CT apparatus 100 repeats Steps S51 and S52 for a plurality
of slice positions.
[0067] At Step S51, the pre-processed data D0(
z,
view, j,
i) is subjected to three-dimensional backprojection processing to determine backprojected
data D3(
x,
y).
[0068] The three-dimensional backprojection processing at Step S51 will be discussed later
with reference to Figure 6.
[0069] At Step S52, the backprojected data D3(
x, y) is subjected to post-processing to obtain a CT image.
[0070] Figure 6 is a flow chart showing details of the three-dimensional backprojection
processing (Step S51 in Figure 4).
[0071] At Step R1, one view is taken as a view of interest in a view range needed in image
reconstruction. The view range is, for example, "180° + fan angle" or "360°."
[0072] At Step R2, projection data Dr corresponding to a plurality of parallel lines at
spacings of a plurality of pixels on a reconstruction plane P are extracted from among
the data D0(
z,
view, j,
i) at the view of interest.
[0073] Figure 7 exemplarily shows a plurality of parallel lines L0 ― L8 on the reconstruction
plane P.
[0074] The number of lines is 1/64 ― 1/2 of the maximum number of pixels in the reconstruction
plane in a direction orthogonal to the lines. For example, if the number of pixels
in the reconstruction plane P is 512×512, the number of lines is nine.
[0075] Moreover, the line direction is defined as the x-direction for -45° ≤
view < 45° (or a view angle range mainly including the range and also including its vicinity)
and 135°
≤ view < 225° (or a view angle range mainly including the range and also including its vicinity).
The line direction is defined as the y-direction for 45°
≤ view < 135° (or a view angle range mainly including the range and also including its vicinity)
and 225° ≤
view < 315° (or a view angle range mainly including the range and also including its vicinity).
[0076] Furthermore, a projection plane
pp is assumed to pass through the center of rotation IC and be parallel to the lines
L0 ― L8.
[0077] Figure 8 shows lines T0 ― T8 formed by projecting the plurality of parallel lines
L0 ― L8 on the reconstruction plane P onto a detector plane
dp in a direction of X-ray transmission.
[0078] The direction of X-ray transmission is determined based upon the geometry of the
X-ray tube 21, multi-row detector 24 and lines L0 ― L8.
[0079] The projection data Dr corresponding to the lines L0 ― L8 can be obtained by extracting
data at the detector row
j and channel
i corresponding to the lines T0 ― T8 projected onto the detector plane
dp.
[0080] Now lines L0' ― L8' formed by projecting the lines T0 ― T8 onto the projection plane
pp in the direction of X-ray transmission are assumed as shown in Figure 9, and the
projection data Dr are developed over the lines L0' ― L8' on the projection plane
pp.
[0081] Referring again to Figure 6, at Step R3, the projection data Dr of the lines L0'
― L8' on the projection plane
pp are multiplied by a cone beam reconstruction weight to generate projection line data
Dp on the projection plane
pp as shown in Figure 10.
[0082] The cone beam reconstruction weight is (
r1/
r0)
2, where
r0 is the distance from the focal spot of the X-ray tube 21 to the j-th detector row
and the
i-th channel of the multi-row detector 24 corresponding to projection data Dr, and
r1 is the distance from the focal spot of the X-ray tube 21 to a point on the reconstruction
plane P corresponding to the projection data Dr.
[0083] At Step R4, the projection line data Dp on the projection plane
pp are filtered. Specifically, the projection line data Dp on the projection plane
pp are subjected to FFT, multiplied by a filter function (reconstruction function),
and subjected to inverse FFT to generate image back-projected line data Df on the
projection plane
pp as shown in Figure 11.
[0084] At Step R5, the back-projected line data Df on the projection plane pp is interpolated
in the line direction to generate high-density back-projected line data Dh on the
projection plane pp as shown in Figure 12.
[0085] The data density of the high-density back-projected line data Dh on the projection
plane pp is 8 · 32 times the maximum number of pixels in the reconstruction plane
P in the line direction. For example, if the factor is 16 and the number of pixels
in the reconstruction plane P is 512x512, the data density is 8,192 points/line.
[0086] At Step R6, the high-density back-projected line data Dh on the projection plane
pp are sampled and interpolated/extrapolated, if necessary, to generate back-projected
pixel data D2 for pixels on the lines L0 · L8 on the reconstruction plane P, as shown
in Figure 13.
[0087] At Step R7, the high-density back-projected line data Dh are sampled and interpolated/extrapolated
to generate back-projection data D2 for pixels in between the lines L0 · L8, as shown
in Figure 14. Alternatively, the interpolation/extrapolation is conducted based on
the back-projected pixel data D2 for pixels on the lines L0 · L8 on the reconstruction
plane P to generate back-projected pixel data D2 for pixels in between the lines L0
· L8.
[0088] In Figures 9 · 14, -45°
≤ view < 45° (or a view angle range mainly including the range and also including its vicinity)
and 135°
≤ view < 225° (or a view angle range mainly including the range and also including its vicinity)
are assumed, while Figures 15 - 20 are applied for 45°
≤ view < 135° (or a view angle range mainly including the range and also including its vicinity)
and 225°
≤ view < 315° (or a view angle range mainly including the range and also including its vicinity).
[0089] Referring again to Figure 6, at Step R8, the back-projected pixel data D2 shown in
Figure 14 or 20 are added on a pixel-by-pixel basis, as shown in Figure 21.
[0090] At Step R9, Steps R1 ― R8 are repeated for all views needed in image reconstruction
to obtain back-projected data D3(x,
y).
[0091] Figure 22 is an explanatory diagram showing the relationship between a reconstruction
plane P and a detector row in the multi-row detector 24.
[0092] Data at views needed in image reconstruction of reconstruction planes P1, P2, P3
and P4 can be extracted from data of detector rows 4A ― 8B.
[0093] According to the X-ray CT apparatus 100 of Example 1, since CT images at a plurality
of slice positions P1, P2, P3 and P4 are produced from data collected by one helical
scan using the multi-row detector 24, the plurality of CT images can be made in phase.
[0094] Moreover, since the CT images are produced by extracting data of the detector rows
and channels onto which an X-ray beam passing through pixels on the reconstruction
planes P impinges, cone angle artifacts are reduced.
If the X-ray beam passing through pixels on the reconstruction plane P falls outside
the multi-row detector 24, data of a detector row and channel closest to the X-ray
beam passing through the pixels on the reconstruction plane P may be used instead.
[Example 2]
[0095] The technique for image reconstruction may be a conventionally known three-dimensional
image reconstruction technique according to the Feldkamp method. Moreover, three-dimensional
image reconstruction techniques proposed in Japanese Patent Application Nos. 2002-147061,
2002-147231, 2002-235561, 2002-235662, 2002-267833, 2002-322756 and 2002-338947 may
be employed.
[Example 3]
[0096] CT images may be reconstructed from data sets generated by extracting data of detector
rows straight below the reconstruction planes P1, P2, P3 and P4, without respect to
the direction of X-ray beam transmission, as shown in Figure 23.
[Example 4]
[0097] Data may be collected by an axial scan rather than by a helical scan.
[Example 5]
[0098] The technique for image reconstruction may be a two-dimensional image reconstruction
technique.